Expression of type Exp

from the theory of proveit.physics.quantum.QPE

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit.numbers import Add, Exp, Mult, e, i, one, pi, two
from proveit.physics.quantum.QPE import _delta_b_round, _two_pow_t__minus_one

# build up the expression from sub-expressions
expr = Exp(Exp(e, Mult(two, pi, i, _delta_b_round)), Add(_two_pow_t__minus_one, one))

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \delta_{b_{\textit{r}}}})^{\left(2^{t} - 1\right) + 1}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 20 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 20 operands: 4
3	Operation	operator: 11 operands: 5
4	ExprTuple	6, 7
5	ExprTuple	8, 27
6	Literal
7	Operation	operator: 9 operands: 10
8	Operation	operator: 11 operands: 12
9	Literal
10	ExprTuple	25, 13, 14, 15
11	Literal
12	ExprTuple	16, 17
13	Literal
14	Literal
15	Operation	operator: 18 operand: 24
16	Operation	operator: 20 operands: 21
17	Operation	operator: 22 operand: 27
18	Literal
19	ExprTuple	24
20	Literal
21	ExprTuple	25, 26
22	Literal
23	ExprTuple	27
24	Literal
25	Literal
26	Literal
27	Literal